引用本文:李宏博,李占山,王涛.改进求解约束满足问题粗粒度弧相容算法.软件学报,2012,23(7):1816-1823
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改进求解约束满足问题粗粒度弧相容算法
李宏博1,2, 李占山1,2, 王涛3
1.吉林大学 计算机科学与技术学院,吉林 长春 130012;2.吉林大学 符号计算与知识工程教育部重点实验室,吉林 长春 130012;3.长春工业大学 计算机科学与工程学院,吉林 长春 130012
摘要:
约束满足问题在人工智能领域有着广泛的应用.研究了约束满足问题的粗粒度维持弧相容求解算法,发现在求解过程中,对于指向已赋值变量的弧存在无效的修正检查,证明了这类修正检查是冗余的.提出一种方法避免这类冗余的修正检查,给出改进后的粗粒度弧相容算法的基本框架AC3_frame_ARR,该改进框架可用于改进所有粗粒度弧相容算法.实验结果表明,经过AC3_frame_ARR 改进后的算法最多可以节省80%的修正检查次数和40%的求解耗时.
关键词:  约束满足问题  维持弧相容  粗粒度算法  修正检查
DOI:10.3724/SP.J.1001.2012.04129
分类号:
基金项目:国家自然科学基金(60773097, 60873148, 60973089); 吉林省自然科学基金(201101039, 20071106, 20080107); 国家教育部博士点专项基金(20100061110031)
Improving Coarse-Grained Arc Consistency Algorithms in Solving Constraint Satisfaction Problems
LI Hong-Bo1,2, LI Zhan-Shan1,2, WANG Tao3
1.College of Computer Science and Technology, Jilin University, Changchun 130012, China;2.Key Laboratory of Symbolic Computation and Knowledge Engineering of Ministry of Education, Jilin University, Changchun 130012, China;3.School of Computer Science and Engineering, Changchun University of Technology, Changchun 130012, China
Abstract:
Constraint satisfaction problems have been widely investigated in artificial intelligence area. This paper investigates whether the coarse-grained maintaining arc is consistent, which is used to solve CSPs. The study has found that during the search for a solution, there are ineffective revisions, which revise the arcs that point to assigned variables. This study has proved that such revisions are redundant and proposed a method to avoid such redundant revisions. The paper gives the improved basic frame for the coarse-grained arc consistency algorithms, named AC3_frame_ARR. The new frame can be applied to improve all the coarse-grained AC algorithms. The experimental results show that the improved algorithms can save at most 80% revisions and 40% CPU time.
Key words:  constraint satisfaction problem  maintaining arc consistency  coarse-grained algorithm  revision

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